iclark wroteum, Mike, I think you missed the constraint of the jaws being in the same (original) relative position.
that reduces the possibilities to:
A.....B.....C
1.....2.....3
3.....1.....2
2.....3.....1
Ivan
AND since the holes ARE identical, the possibility of Ivan getting his assembled 'Properly' is 100% with his 'sequence/order restraint.
Mike's potential number of combinations are 2 since the holes ARE identical. IF he got it wrong, he only needed to reverse the position of two of them.
123 == 231 == 312
132 == 321 == 213
ABC .... ABC .... ABC
In fairness to Mike, he was acting on info that implied the holes were unique. Thanks for the peek at your info source. I found it quite different(good) from the jacobschuck site(more history/insight to real world dealing with the repair of the chucks).